CONFORMABLE SPECIAL CURVES IN EUCLIDEAN 3-SPACE

aykut has, beyhan yılmaz, hüseyin yıldırım, abdullah akkurt

Abstract


In this study, the effect of fractional derivatives on curves, whose
application area is increasing day by day, is investigated. While investigating this effect, the conformable fractional derivative, which best suits the algebraic structure of differential geometry, is selected. As a result, many special curves and Frenet frame previously obtained using classical derivatives have been redefined with the help of conformable fractional derivatives.


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